Answer:
0 Jasmine did not insert her decimal point correctly after multiplying the actual amount
0 Jasmine’s estimate and actual product don’t match closely enough.
Answer:
Linear equation
Step-by-step explanation:
f(x) = 2x + 15
Linear because constant increase
Answer:
8 vans
7 buses
Step-by-step explanation:
Let there be "b" buses
and "v" vans
Since 7 people is the capacity of vans, the total capacity is
7v
Also, since 25 people is the capacity of 1 bus, the total capacity is
25b
In total 231 people, so we can write our first equation as:
7v + 25b = 231
Now, we know there are 15 vehicles (bus + vans) in total, so we can write our 2nd equation as:
v + b = 15
Now, we solve for v and b. Let's solve the 2nd equation for v and substitute that into 1st and solve for b first:
v + b = 15
v = 15 - b
Now,
![7v + 25b = 231\\7(15-b) + 25b = 231\\105-7b+25b=231\\18b=126\\b=7](https://tex.z-dn.net/?f=7v%20%2B%2025b%20%3D%20231%5C%5C7%2815-b%29%20%2B%2025b%20%3D%20231%5C%5C105-7b%2B25b%3D231%5C%5C18b%3D126%5C%5Cb%3D7)
Hence, there are 7 buses
Since 15 vehicles in total, the number of vans is:
15 - 7 = 8 vans
So,
8 vans
7 buses
5 x 0.4 = 2 and
![\sqrt{2}](https://tex.z-dn.net/?f=%20%5Csqrt%7B2%7D%20)
= 1.4142....... which is an irrational number
The teacher would need 40 centimeters of tape to hang 10 student projects.
Step-by-step explanation:
Given,
Tape used to hang projects = 36 centimeters
Number of projects hanged = 9
We will find unit rate;
9 projects = 36 centimeters
1 project = ![\frac{36}{9}\ centimeters](https://tex.z-dn.net/?f=%5Cfrac%7B36%7D%7B9%7D%5C%20centimeters)
1 project = 4 centimeters
Therefore,
Tape needed to hang 10 projects = 4*10 = 40 centimeters
The teacher would need 40 centimeters of tape to hang 10 student projects.
Keywords: unit rate, multiplication
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